Search a number
-
+
2122230307 is a prime number
BaseRepresentation
bin111111001111110…
…1010101000100011
312110220100110200111
41332133222220203
513321242332212
6550330432151
7103406442241
oct17637525043
95426313614
102122230307
11999a4204a
124b2892657
1327a8a24a2
14161bd5791
15c64a8ea7
hex7e7eaa23

2122230307 has 2 divisors, whose sum is σ = 2122230308. Its totient is φ = 2122230306.

The previous prime is 2122230283. The next prime is 2122230323. The reversal of 2122230307 is 7030322212.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122230307 is a prime.

It is a super-3 number, since 3×21222303073 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2122230337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061115153 + 1061115154.

It is an arithmetic number, because the mean of its divisors is an integer number (1061115154).

Almost surely, 22122230307 is an apocalyptic number.

2122230307 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122230307 is an equidigital number, since it uses as much as digits as its factorization.

2122230307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 2122230307 is about 46067.6709526323. The cubic root of 2122230307 is about 1285.0819908622.

Adding to 2122230307 its reverse (7030322212), we get a palindrome (9152552519).

It can be divided in two parts, 21222 and 30307, that added together give a square (51529 = 2272).

The spelling of 2122230307 in words is "two billion, one hundred twenty-two million, two hundred thirty thousand, three hundred seven".